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Finding the Fourth Proportional to 9,634.94, 14,452.41 and 2,709.44

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Solution

The fourth proportional to 9,634.94, 14,452.41 and 2,709.44 is: 4,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.94 : 14,452.41 = 2,709.44 : x
  2. Step 2: Convert to fraction form
    9,634.94/14,452.41 = 2,709.44/x
  3. Step 3: Cross multiply
    9,634.94x = 14,452.41 × 2,709.44
  4. Step 4: Simplify right side
    9,634.94x = 39,157,901.62
  5. Step 5: Solve for x
    x = 39,157,901.62/9,634.94
  6. Step 6: Final answer
    x = 4,064.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.